For solving a class of complex symmetric system of linear equations, we apply the minimum residual technique to the modified Hermitian and skew-Hermitian splitting (MHSS) iteration scheme and propose an iteration method referred to as minimum residual MHSS (MRMHSS) iteration method. Compared with the classical MHSS method, the MRMHSS method has two more iteration parameters, which can be automatically and easily computed. Then, some properties of the MRMHSS iteration method are carefully studied. Finally, we use four examples to test the performance of the MRMHSS iteration method by comparing its numerical results with three other iteration methods.

为了解决一类复杂的线性方程组对称对称系统，我们将最小残差技术应用于改进的Hermitian和Skew-Hermitian分裂（MHSS）迭代方案，并提出了一种称为最小残差MHSS（MRMHSS）迭代方法的迭代方法。与传统的MHSS方法相比，MRMHSS方法具有两个以上的迭代参数，可以自动，轻松地进行计算。然后，仔细研究了MRMHSS迭代方法的一些属性。最后，我们使用四个示例通过将其数值结果与其他三个迭代方法进行比较来测试MRMHSS迭代方法的性能。